Discrete Mathematics (3140708) MCQs

MCQs of Algebraic Structures

Showing 21 to 30 out of 65 Questions
1 2 3 4 5 6
21.
G=(ℤ5, ×5) is _____.
(a) semi group
(b) monoid
(c) group
(d) Abelian group
Answer:

Option (b)

22.
G=(ℤ5-{0}, ×5) is _____.
(a) group
(b) semi group
(c) monoid
(d) not group
Answer:

Option (a)

23.
Let (G, *) be a group then for all a,b in G (a*b)-1=?
(a) a-1*b-1
(b) a-1*b
(c) a*b
(d) b-1*a-1
Answer:

Option (d)

24.
Let G={ab-ba/a,b∈ℝ} is group under matrix addition. Then the identity element of G is
(a) 1001
(b) 0000
(c) 1000
(d) 0001
Answer:

Option (b)

25.
Let G={1, i, -1, -i} then o(G)=_____.
(a) 1
(b) 2
(c) 3
(d) 4
Answer:

Option (d)

26.
ℤn=
(a) 0
(b) 1
(c) n
(d) n-1
Answer:

Option (c)

27.
If Sn be the set consisting of all permutation of degree n then order of Sn is _____.
(a) n
(b) n!
(c) n2
(d) 2n
Answer:

Option (b)

28.
If f=12342341∈S4 then f can be written as _____.
(a) (1 2 3 4)
(b) (1 3 4 2)
(c) (2 3 1 4)
(d) (4 3 2 1)
Answer:

Option (a)

29.
The number of elements in the symmetric group S3 is _____.
(a) 4
(b) 6
(c) 24
(d) 9
Answer:

Option (b)

30.
Let S3={I, (1  2), (1  3), (2  3), (1  2  3), (1  3  2)} be a group with respect to composition of function then how many self invertible elements in S3?
(a) 1
(b) 2
(c) 3
(d) 4
Answer:

Option (d)

Showing 21 to 30 out of 65 Questions
1 2 3 4 5 6